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2006 On canonical triangulations of once-punctured torus bundles and two-bridge link complements
François Guéritaud
Geom. Topol. 10(3): 1239-1284 (2006). DOI: 10.2140/gt.2006.10.1239

Abstract

We prove the hyperbolization theorem for punctured torus bundles and two-bridge link complements by decomposing them into ideal tetrahedra which are then given hyperbolic structures, following Rivin’s volume maximization principle.

Citation

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François Guéritaud. "On canonical triangulations of once-punctured torus bundles and two-bridge link complements." Geom. Topol. 10 (3) 1239 - 1284, 2006. https://doi.org/10.2140/gt.2006.10.1239

Information

Received: 10 November 2005; Revised: 29 July 2006; Accepted: 23 July 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1130.57024
MathSciNet: MR2255497
Digital Object Identifier: 10.2140/gt.2006.10.1239

Subjects:
Primary: 57M50
Secondary: 57M27

Keywords: angle structures , hyperbolic geometry , hyperbolic volume , ideal triangulations , surface bundles , two-bridge links

Rights: Copyright © 2006 Mathematical Sciences Publishers

Vol.10 • No. 3 • 2006
MSP
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